102834225424 has 80 divisors (see below), whose sum is σ = 231923013120. Its totient is φ = 43261770240.

The previous prime is 102834225419. The next prime is 102834225433. The reversal of 102834225424 is 424522438201.

102834225424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497114 + ... + 1564294.

It is an arithmetic number, because the mean of its divisors is an integer number (2899037664).

Almost surely, 2^102834225424 is an apocalyptic number.

102834225424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102834225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115961506560).

102834225424 is an abundant number, since it is smaller than the sum of its proper divisors (129088787696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102834225424 is a wasteful number, since it uses less digits than its factorization.

102834225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67448 (or 67442 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 102834225424 in words is "one hundred two billion, eight hundred thirty-four million, two hundred twenty-five thousand, four hundred twenty-four".